We must admit with humility that, while number is purely a product of our minds, space has a reality outside our minds, so that we cannot completely prescribe its properties a priori.
Carl Friedrich GaussRead
When I have clarified and exhausted a subject, then I turn away from it, in order to go into darkness again.
Interpretation
What this quote means
Gauss emphasizes the importance of exploring unknowns even after understanding a subject fully.
In this quote, Carl Friedrich Gauss expresses a philosophical viewpoint on knowledge and discovery. He suggests that after thoroughly analyzing and understanding a topic, it becomes necessary to venture into the unknown once more. This conveys a message about the cyclical nature of learning, where enlightenment leads to new questions and further explorations, reinforcing that knowledge is not a final destination but a continuous journey into realms that are yet to be understood.
Themes
KnowledgeDiscoveryExplorationUnderstandingGrowth
In practice
Example use cases
In a lecture about the importance of continuous learning, one might use this quote to highlight the ongoing journey of knowledge.
More from Carl Friedrich Gauss
All quotes →I protest against the use of infinite magnitude ..., which is never permissible in mathematics.
Carl Friedrich GaussRead
Mathematics is the queen of sciences and number theory is the queen of mathematics. She often condescends to render service to astronomy and other natural sciences, but in all relations she is entitled to the first rank.
Carl Friedrich GaussRead
To praise it would amount to praising myself. For the entire content of the work... coincides almost exactly with my own meditations which have occupied my mind for the past thirty or thirty-five years.
Carl Friedrich GaussRead
The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the most important and useful in arithmetic.
Carl Friedrich GaussRead
Life stands before me like an eternal spring with new and brilliant clothes.
Carl Friedrich GaussRead
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